727680000 has 220 divisors, whose sum is σ = 2430034640. Its totient is φ = 193536000.

The previous prime is 727679989. The next prime is 727680011. The reversal of 727680000 is 86727.

It is an interprime number because it is at equal distance from previous prime (727679989) and next prime (727680011).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 727680000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1919811 + ... + 1920189.

It is an arithmetic number, because the mean of its divisors is an integer number (11045612).

Almost surely, 2^727680000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215017320).

727680000 is an abundant number, since it is smaller than the sum of its proper divisors (1702354640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

727680000 is an equidigital number, since it uses as much as digits as its factorization.

727680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 727680000 is about 26975.5444801398. The cubic root of 727680000 is about 899.4564619299.

The spelling of 727680000 in words is "seven hundred twenty-seven million, six hundred eighty thousand".